5(x^2+7)=55

Solution for 5(x^2+7)=55 equation:

Simplifying
5(x2 + 7) = 55

Reorder the terms:
5(7 + x2) = 55
(7 * 5 + x2 * 5) = 55
(35 + 5x2) = 55

Solving
35 + 5x2 = 55

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-35' to each side of the equation.
35 + -35 + 5x2 = 55 + -35

Combine like terms: 35 + -35 = 0
0 + 5x2 = 55 + -35
5x2 = 55 + -35

Combine like terms: 55 + -35 = 20
5x2 = 20

Divide each side by '5'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}